2426104032 has 288 divisors, whose sum is σ = 7505156736. Its totient is φ = 680064000.

The previous prime is 2426104007. The next prime is 2426104049. The reversal of 2426104032 is 2304016242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2426103993 and 2426104011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24020782 + ... + 24020882.

It is an arithmetic number, because the mean of its divisors is an integer number (26059572).

Almost surely, 2^2426104032 is an apocalyptic number.

2426104032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752578368).

2426104032 is an abundant number, since it is smaller than the sum of its proper divisors (5079052704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2426104032 is a wasteful number, since it uses less digits than its factorization.

2426104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2426104032 is about 49255.4974799768. The cubic root of 2426104032 is about 1343.7025454249.

It can be divided in two parts, 242610 and 4032, that added together give a palindrome (246642).

The spelling of 2426104032 in words is "two billion, four hundred twenty-six million, one hundred four thousand, thirty-two".